(D^2-4D+4I)y=0

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Solution for (D^2-4D+4I)y=0 equation: 


Simplifying
(D2 + -4D + 4I) * y = 0

Reorder the terms:
(-4D + D2 + 4I) * y = 0

Reorder the terms for easier multiplication:
y(-4D + D2 + 4I) = 0
(-4D * y + D2 * y + 4I * y) = 0
(-4yD + yD2 + 4yI) = 0

Solving
-4yD + yD2 + 4yI = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-4D + D2 + 4I) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0

Subproblem 2
Set the factor '(-4D + D2 + 4I)' equal to zero and attempt to solve:

Simplifying
-4D + D2 + 4I = 0

Solving
-4D + D2 + 4I = 0

Move all terms containing y to the left, all other terms to the right.

Add '4D' to each side of the equation.
-4D + D2 + 4D + 4I = 0 + 4D

Reorder the terms:
-4D + 4D + D2 + 4I = 0 + 4D

Combine like terms: -4D + 4D = 0
0 + D2 + 4I = 0 + 4D
D2 + 4I = 0 + 4D
Remove the zero:
D2 + 4I = 4D

Add '-1D2' to each side of the equation.
D2 + -1D2 + 4I = 4D + -1D2

Combine like terms: D2 + -1D2 = 0
0 + 4I = 4D + -1D2
4I = 4D + -1D2

Add '-4I' to each side of the equation.
4I + -4I = 4D + -1D2 + -4I

Combine like terms: 4I + -4I = 0
0 = 4D + -1D2 + -4I

Simplifying
0 = 4D + -1D2 + -4I

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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